66762432 has 168 divisors, whose sum is σ = 214682832. Its totient is φ = 19660800.

The previous prime is 66762427. The next prime is 66762433. The reversal of 66762432 is 23426766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66762433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259648 + ... + 259904.

It is an arithmetic number, because the mean of its divisors is an integer number (1277874).

Almost surely, 2^66762432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107341416).

66762432 is an abundant number, since it is smaller than the sum of its proper divisors (147920400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66762432 is a wasteful number, since it uses less digits than its factorization.

66762432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 66762432 is about 8170.8281098063. The cubic root of 66762432 is about 405.6741948464.

The spelling of 66762432 in words is "sixty-six million, seven hundred sixty-two thousand, four hundred thirty-two".